The probability of any given one of those patterns

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Unformatted text preview: network states, calculate the capacity of each state, and then for each capacity value, add together all probabilities of all states with that capacity. The first few lines of such a table are shown in Table 2.4. For example, pY (10) is the sum of all probabilities in rows such that the capacity shown in the row is 10. 66 CHAPTER 2. DISCRETE-TYPE RANDOM VARIABLES Table 2.4: A table for calculating the distribution of capacity of network G. State 00000 00001 00010 00011 00100 00101 00110 00111 . . . probability q1 q2 q3 q4 q5 q1 q2 q3 q4 p5 q1 q2 q3 p 4 q5 q1 q2 q3 q4 p5 q1 q2 p 3 q4 q5 q1 q2 p3 q4 p5 q1 q2 p3 p4 q5 q1 q2 p 3 p 4 p 5 . . . 11111 2.12.4 capacity 30 10 20 10 10 10 10 10 . . . 0 p1 p2 p3 p4 p5 Analysis of an array code The array shown in Figure 2.12.4 below illustrates a two-dimensional error detecting code for use in digital systems such as computer memory or digital communication systems. There are 49 data 0 1 1 1 1 0 1 1 1 0 0 0 1 0 0 0 1 0 1 0 0 1 0 1 0 1 0 0 1 1 0 1 1 0 1 1 1 0 1 1 0 1 1 1 1 1 0 1 0 1 1 1 0 0 1 0 1 0 1 0 1 1 1 1 Figure 2....
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